Phonons in Perfect Crystals

作者: W. Cochran , R. A. Cowley

DOI: 10.1007/978-3-642-46074-6_2

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摘要: In writing this article we have kept in mind the fact that two articles dealing with aspects of lattice dynamics already appeared Vol. VII series [9], [10]. The subject has however undergone very considerable development intervening decade. particular, experimental technique neutron inelastic scattering made possible determination form phonon dispersion curves for practically first time, and unexpected features interatomic forces become apparent. Secondly, new mathematical techniques it to evaluate influence anharmonic effects on physical properties crystals almost as much detail these had been worked out formerly basis harmonic approximation. We therefore devoted a part developments. order make account more nearly complete, included sections (notably A C) which cover same ground was covered by Blackman [9] Leibfried [10]; where discussed topics concerned from different approach. an Appendix summarised principal theory thermodynamic Green’s functions, applied evaluation those involve phonons.

参考文章(11)
Elliott Waters Montroll, I. P Ipatova, Alexei Alexei Maradudin, George Herbert Weiss, Theory of lattice dynamics in the harmonic approximation Published in <b>1971</b> in New York NY) by Academic press. ,(1971)
Max Born, Kʿun Huang, Dynamical Theory of Crystal Lattices ,(1954)
E. W. Kellermann, Theory of the Vibrations of the Sodium Chloride Lattice Philosophical Transactions of the Royal Society A. ,vol. 238, pp. 513- 548 ,(1940) , 10.1098/RSTA.1940.0005
I. E. Dzyaloshinski, L. P. Gorkov, A. A. Abrikosov, Richard A. Silverman, George H. Weiss, Methods of Quantum Field Theory in Statistical Physics ,(1963)
M. De, Handbuch der Physik Journal of Modern Optics. ,vol. 4, pp. 53- 53 ,(1957) , 10.1080/713826071
M. Blackman, The Specific Heat of Solids Handbuch der Physik / Encyclopedia of Physics. ,vol. 3, pp. 325- 382 ,(1955) , 10.1007/978-3-642-45827-9_3
G. Leibfried, Gittertheorie der mechanischen und thermischen Eigenschaften der Kristalle Handbuch der Physik / Encyclopedia of Physics. ,vol. 3, pp. 104- 324 ,(1955) , 10.1007/978-3-642-45827-9_2